SOLUTION: 2If x is my age, then y is my friend's age. Write an equation given that the sum of our ages is 66. Write an equation given that my friend's age is double my age. Wha

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Question 762320: 2If x is my age, then y is my friend's age.
Write an equation given that the sum of our ages is 66.
Write an equation given that my friend's age is double my age.
What are our ages? Find out by solving a system. My age is and my friend's age is .

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be your age.
Let Y be your friend's age.
Equation 1: X+%2B+Y+=+66
Equation 2: 2X+=+Y
To solve for your ages, plug 2X into equation 1 for Y.
Equation 1: X+%2B+Y+=+66
X+%2B+%282X%29+=+66
Combine like terms.
3X+=+66
Divide both sides by 3.
highlight%28X+=+22%29
Now plug 22 into equation 2 for X and solve for Y.
Equation 2: 2X+=+Y
2%2A%2822%29+=+Y
highlight_green%2844+=+Y%29